Thermodynamics of modified black holes from gravity's rainbow

TL;DR

This paper investigates the thermodynamics of modified black holes within gravity's rainbow, introducing intrinsic temperature and entropy, and finds consistent results with deformed special relativity, supporting a deformed equivalence principle.

Contribution

It provides a novel analysis of black hole thermodynamics in gravity's rainbow and demonstrates consistency with results from deformed special relativity, supporting the deformed equivalence principle.

Findings

Intrinsic temperature and entropy are defined for modified black holes.

Results from gravity's rainbow match those from deformed special relativity.

Supports the deformed equivalence principle in quantum gravity theories.

Abstract

We study the thermodynamics of modified black holes proposed in the context of gravity's rainbow. A notion of intrinsic temperature and entropy for these black holes is introduced. In particular for a specific class of modified Schwarzschild solutions, their temperature and entropy are obtained and compared with those previously obtained from modified dispersion relations in deformed special relativity. It turns out that the results of these two different strategies coincide, and this may be viewed as a support for the proposal of deformed equivalence principle.